Random
Only logged in members can reply and interact with the post.
Join SimilarWorlds for FREE »

Constants saved for reference

The SI is defined in terms of a set of seven defining constants. The complete system of units can be derived from the fixed values of these defining constants, expressed in the units of the SI.

The seven defining constants are:

the caesium hyperfine frequency ΔνCs
the speed of light in vacuum. c
the Planck constant. h
the elementary charge. e
the Boltzmann constant. k
the Avogadro constant. NA,
the luminous efficacy of a defined visible radiation Kcd.

It is by fixing the exact numerical value of each that the unit becomes defined, since the product of the numerical value and the unit must equal the value of the constant.

Their numerical values and the units they define are as follows:

Defining constant |Numerical value| Unit

ΔνCs 9 192 631 770 Hz
c 299 792 458 m s–1
h 6.626 070 15 x 10^–34 J s
e 1.602 176 634 x 10^–19 C
k 1.380 649 x 10^–23 J K–1
NA 6.022 140 76 x 10^23 mol–1
Kcd 683 lm W–1


The numerical values of the seven defining constants have no uncertainty.

The definitions of the base units specify the exact numerical value of each constant when its value is expressed in the corresponding SI unit.
Top | New | Old
ArishMell · 70-79, M
They still need refer to synthetic units like the metre, joule and arguably so the second; and those were established long before the ISO found nuclear-physics level ways to describe them.

The physical metre standard is still a length of platinum bar kept in France, so the ISO mathematicians had somehow to define it to limits far beyond any normal measuring tools.

So I wonder how they satisfy the circular argument. You can define the metre as indeed they do, by so-many wavelengths of light of a certain frequency, but to do that means choosing a calibration light that can be used as such. I think it's the emission light of Sodium but there seems no particular reason for that choice.

Essentially it's making the formal, physicists' definition of the metre, still that of the length of a carefully-preserved metal bar made to be a certain fraction of a geographical distance measured as accurately as 18C surveyors could manage!

Then of course you need be sure the measuring system is calibrated properly...

...

Don't get me wrong: I am not knocking the Metric System, nor the Systéme Internationale although some of the latter's units are clumsy for practical use.

Modern science and engineering, and commerce, would really struggle without their consistency and arithmetical simplicity despite some practical cost such as the Radian and Pascal (though it lets us use the Degree and Bar for "ordinary" work).

Hence its adoption worldwide, apart from everyday use in America and a few specific exceptions in the UK, but all technical work in these two nations uses the ISO units.


Indeed, France invented the Metric System for simplicity, as its own home-grown weights and measures had become an utter tangle of individual units by trade and region; severely hampering trade even within the country. Since France trades with several countries with direct frontiers it was not long before the neighbours copied it, and so the Metric System gadually and patchily spread world-wide.

The UK was quite slow to adopt it: we Britons love individuality! The roads and railways still use the Statute Mile and Yard (and the Chain, on the railways); ales and ciders are still dispensed by the pint in pubs. Some engineering and building materials are still made to inch dimensions. Otherwise it's all Metric / ISO although schools wrongly insist on teaching the "non-preferred" centimetre.

There is a story that the fledgling USA - which still uses a 16C vintners' version of the Gallon - might have adopted the Metric System from the start had a ship carrying representative Standards not sunk!

...

I have found one unexpected exception. In at least some European countries, organ-pipe lengths are still specified in feet (e.g. Diapason 8', Tibia 4'). Well of course: Bach, Saint-Saens or Lapwood would just not sound the same in Diapason 2438.4.... Let alone Na-emission wavelengths.
Tastyfrzz · 61-69, M
@ArishMell and all of these standards depend upon the speed at which you are goingbrelative to something else.
ArishMell · 70-79, M
@Tastyfrzz Indeed!
The definitions of the base units specify the exact numerical value of each constant when its value is expressed in the corresponding SI unit.

The base units are now defined in terms of the constants.

 
Post Comment